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R!kpe_(u!kpeN}!kpe!kpe\OUSMOAPullback Attractor of a Nonautonomous Model for Epitaxial Growth%DUAN NING;ZHAO XIAOPENG;Gao Wenjie;In this paper,we consider a nonautonomous model for epitaxial growth.It is shown that a pullback attractor of the model exists when the external force has exponential growth.405pef[xvzDA Note on Comparison Between the Wiener Index and the Zagreb Indices$YOU ZHIFU;HUANG YUFEI;Du Xiankun;In this note,we correct a wrong result in a paper of Das et al.with regard to the comparison between the Wiener index and the Zagreb indices for trees(Das K C,Jeon H,Trinajsti N.The comparison between the Wiener index and the Zagreb indices and the eccentric connectivity index for trees.Discrete Appl.Math.,2014,171: 35 41),and give a simple way to compare the Wiener index and the Zagreb indices for trees.Moreover,the comparison between the Wiener index and the Zagreb indices for unicyclic graphs is carried out.2VCoefficient Estimates for a Subclass of Biunivalent Strongly Quasistarlike Functions!LI ZONGTAO;GUO DONG;Ji Youqing;The aim of this paper is to establish the FeketeSzeg inequality for a subclass of biunivalent strongly quasistarlike functions which is defined in the open unit disk.Furthermore,the coefficients a_2 and a_3 for functions in this new subclass are estimated.kIterative Learning Control for a Class of Linear Continuoustime Switched Systems with Fixed Initial Shifts?XU GUANGZHAO;FU QIN;DU LILI;WU JIANRONG;YU PENGFEI;Li Yong;8This paper deals with the problem of iterative learning control for a class of linear continuoustime switched systems in the presence of a fixed initial shift.Here,the considered switched systems are operated during a finite time interval repetitively.According to the characteristics of the systems,a PDtype learning scheme is proposed for such switched systems with arbitrary switching rules,and the corresponding output limiting trajectories under the action of the PDtype learning scheme are given.Based on the contraction mapping method,it is shown that this scheme can guarantee the outputs of the systems converge uniformly to the output limiting trajectories of the systems over the whole time interval.Furthermore,the initial rectifying strategies are applied to the systems for eliminating the effect of the fixed initial shift.When the learning scheme is applied to the systems,the outputs of the systems can converge to the desired reference trajectories over a prespecified interval.Finally,simulation examples illustrate the effectiveness of the proposed method.8Planar Cardinal Spline Curves with Minimum Strain EnergyLI JUNCHENG;Ma Fuming;HIn this paper,we focus on how to use strain energy minimization to obtain the optimal value of the free parameter of the planar Cardinal spline curves.The unique solution can be easily obtained by minimizing an appropriate approximation of the strain energy.An example is presented to illustrate the effectiveness of our method.1The Twisted Transfer Variety!CHEN YANG;NAN JIZHU;Du Xiankun;In this paper,we describe the variety defined by the twisted transfer ideal.It turns out that this variety is nothing but the union of reflecting hyperplanes and the fixed subspaces of the elements of order p in G.NPartial or Truncated Sharing Values of Meromorphic Functions with Their Shifts/LIAN GUI;CHEN JUNFAN;CAI XIAOHUA;Ji Youqing;We mainly study the periodicity theorems of meromorphic functions having truncated or partial sharing values with their shifts,where meromorphic functions are of hyper order less than 1 and N(r,f) = T(r,f) for some positive number .MHermiteHadamard Type Fractional Integral Inequalities for Preinvex Functions+LIAN TIEYAN;TANG WEI;ZHOU RUI;Ji Youqing;qIn this article,we extend some estimates of the righthand side of the HermiteHadamard type inequality for preinvex functions with fractional integral.The notion of logarithmically sGodunovaLevinpreinvex function in< second sense is introduced and then a new HermiteHadamard inequality is derived for the class of logarithmically sGodunovaLevinpreinvex function.FLocation of Zeros for the Weak Solution to a pGinzburgLandau ProblemZHAN DESHENG;Wang Chunpeng;\This paper is concerned with the asymptotic behavior of the solution u_ of a pGinzburgLandau system with the radial initialboundary data.The author proves that the zeros of u in the parabolic domain B_1(0) (0,T ] locate near the axial line {0} (0,T ].In particular,all the zeros converge to this axial line when the parameter goes to zero.WBoundedness of Marcinkiewicz Integrals in Weighted Variable Exponent HerzMorrey Spaces"XIAO DAN;SHU LISHENG;Ji Youqing;+In this paper,under natural regularity assumptions on the exponent function,we prove some boundedness results for the functions of LittlewoodPaley,Lusin and Marcinkiewicz on a new class of generalized HerzMorrey spaces with weight and variable exponent,which essentially extend some known results.3COMMUNICATIONS IN MATHEMATICAL RESEARCH Vol.34 2018<ck>~~'Communications in Mathematical Researchf<ck>Aims and Scope Communications in Mathematical Research (CMR) is a comprehensive mathematical journal carrying original papers on pure and applied mathematics. It was launched in September, 1985. The journal is formerly Northeastern Mathematical Journal (NMJ), and publishes quarterly. The primary purpose is to present the latest achievements in mathemat
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